slides-chap6A-communication-soft

Transmission strat egique de linformation information

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Transmission strat´ egique de l’information / Information non certifiable Le mod` ele de communication de Crawford et Sobel (1982) – Types de l’´ emetteur : T = [0 , 1] , distribution uniforme – Messages (signaux gratuits) de l’´ emetteur : M = [0 , 1]
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Transmission strat´ egique de l’information / Information non certifiable Le mod` ele de communication de Crawford et Sobel (1982) – Types de l’´ emetteur : T = [0 , 1] , distribution uniforme – Messages (signaux gratuits) de l’´ emetteur : M = [0 , 1] – Actions du r´ ecepteur : A = [0 , 1]
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Transmission strat´ egique de l’information / Information non certifiable Le mod` ele de communication de Crawford et Sobel (1982) – Types de l’´ emetteur : T = [0 , 1] , distribution uniforme – Messages (signaux gratuits) de l’´ emetteur : M = [0 , 1] – Actions du r´ ecepteur : A = [0 , 1] – Utilit´ e de l’´ emetteur (joueur 1) : u 1 ( a ; t ) = bracketleftbig a ( t + b ) bracketrightbig 2 , b > 0
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Transmission strat´ egique de l’information / Information non certifiable Le mod` ele de communication de Crawford et Sobel (1982) – Types de l’´ emetteur : T = [0 , 1] , distribution uniforme – Messages (signaux gratuits) de l’´ emetteur : M = [0 , 1] – Actions du r´ ecepteur : A = [0 , 1] – Utilit´ e de l’´ emetteur (joueur 1) : u 1 ( a ; t ) = bracketleftbig a ( t + b ) bracketrightbig 2 , b > 0 – Utilit´ e du r´ ecepteur (joueur 2) : u 2 ( a ; t ) = bracketleftbig a t bracketrightbig 2
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Transmission strat´ egique de l’information / Information non certifiable Le mod` ele de communication de Crawford et Sobel (1982) – Types de l’´ emetteur : T = [0 , 1] , distribution uniforme – Messages (signaux gratuits) de l’´ emetteur : M = [0 , 1] – Actions du r´ ecepteur : A = [0 , 1] – Utilit´ e de l’´ emetteur (joueur 1) : u 1 ( a ; t ) = bracketleftbig a ( t + b ) bracketrightbig 2 , b > 0 – Utilit´ e du r´ ecepteur (joueur 2) : u 2 ( a ; t ) = bracketleftbig a t bracketrightbig 2 Ainsi quand t augmente les deux joueurs pr´ ef` erent que l’action augmente mais l’action pr´ ef´ er´ ee de l’´ emetteur, a 1 ( t ) = t + b , est toujours strictement sup´ erieure ` a l’action pr´ ef´ er´ ee du r´ ecepteur, a 2 ( t ) = t
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Transmission strat´ egique de l’information / Information non certifiable Exemples de situations qui peuvent ˆ etre mod´ elis´ ees par ce mod` ele : – Relation docteur/patient, o`u le patient a un biais pour des interventions/prescriptions excessives – Relations hi´ erarchiques
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Transmission strat´ egique de l’information / Information non certifiable On va caract´ eriser des ´ equilibres partitionnels, ou “ n -s´ eparateurs”, o`u n messages diff´ erents sont envoy´ es ` a l’´ equilibre :
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Transmission strat´ egique de l’information / Information non certifiable On va caract´ eriser des ´ equilibres partitionnels, ou “ n -s´ eparateurs”, o`u n messages diff´ erents sont envoy´ es ` a l’´ equilibre : σ 1 ( t ) = m 1 si t [0 , x 1 [ .
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